Electric Potential of Dipole Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2)
V = ([Coulomb]*p*cos(θ))/(r^2)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Electrostatic Potential - (Measured in Volt) - Electrostatic Potential is a measure of the potential energy per unit charge.
Electric Dipole Moment - (Measured in Coulomb Meter) - The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system. It is a measure of the system's overall polarity.
Angle between any two vectors - (Measured in Radian) - Angle between any two vectors is the angle between any two vectors.
Magnitude of Position Vector - (Measured in Meter) - The magnitude of position vector from reference point to any particular point in space.
STEP 1: Convert Input(s) to Base Unit
Electric Dipole Moment: 12 Coulomb Meter --> 12 Coulomb Meter No Conversion Required
Angle between any two vectors: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
Magnitude of Position Vector: 0.5 Meter --> 0.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = ([Coulomb]*p*cos(θ))/(r^2) --> ([Coulomb]*12*cos(1.5707963267946))/(0.5^2)
Evaluating ... ...
V = 0.128002649262532
STEP 3: Convert Result to Output's Unit
0.128002649262532 Volt --> No Conversion Required
FINAL ANSWER
0.128002649262532 0.128003 Volt <-- Electrostatic Potential
(Calculation completed in 00.004 seconds)

Credits

Created by Muskaan Maheshwari
Indian Institute of Technology (IIT), Palakkad
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13 Electrostatics Calculators

Electric Potential of Dipole
Go Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2)
Electric Field for Uniformly Charged Ring
Go Electric Field = ([Coulomb]*Charge*Distance)/(Radius of Ring^2+Distance^2)^(3/2)
Electric Current given Drift Velocity
Go Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed
Electrostatic Potential Energy of Point Charge or System of Charges
Go Electrostatic Potential Energy = ([Coulomb]*Charge 1*Charge 2)/Separation between Charges
Electric Force by Coulomb's Law
Go Electric Force = ([Coulomb]*Charge 1*Charge 2)/(Separation between Charges^2)
Electrostatic Potential due to Point Charge
Go Electrostatic Potential = ([Coulomb]*Charge)/Separation between Charges
Electric Field due to Line Charge
Go Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring
Electric Field due to Point Charge
Go Electric Field = ([Coulomb]*Charge)/(Separation between Charges^2)
Electric Field due to Infinite Sheet
Go Electric Field = Surface Charge Density/(2*[Permitivity-vacuum])
Electric Field
Go Electric Field = Electric Potential Difference/Length of Conductor
Electric Field between Two Oppositely Charged Parallel Plates
Go Electric Field = Surface Charge Density/([Permitivity-vacuum])
Electric Dipole Moment
Go Electric Dipole Moment = Charge*Separation between Charges
Electric Field Intensity
Go Electric Field Intensity = Electric Force/Electric Charge

Electric Potential of Dipole Formula

Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2)
V = ([Coulomb]*p*cos(θ))/(r^2)

What is Electric Potential Dipole?

The electric potential of dipole is the amount of work needed to move a unit positive charge from a reference point to a specific point inside an electric field without producing acceleration.

Important points about Potential due to dipole

The potential due to a dipole depends on r (distance between any point and the mid-point of the dipole) and angle between position vector r and dipole moment p. The potential due to dipole decreases as 1/r².

How to Calculate Electric Potential of Dipole?

Electric Potential of Dipole calculator uses Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2) to calculate the Electrostatic Potential, The electric potential of dipole is the amount of work needed to move a unit positive charge from a reference point to a specific point inside an electric field without producing acceleration. A dipole is a pair of opposite charges with equal magnitudes separated by a distance. Electrostatic Potential is denoted by V symbol.

How to calculate Electric Potential of Dipole using this online calculator? To use this online calculator for Electric Potential of Dipole, enter Electric Dipole Moment (p), Angle between any two vectors (θ) & Magnitude of Position Vector (r) and hit the calculate button. Here is how the Electric Potential of Dipole calculation can be explained with given input values -> 0.128003 = ([Coulomb]*12*cos(1.5707963267946))/(0.5^2).

FAQ

What is Electric Potential of Dipole?
The electric potential of dipole is the amount of work needed to move a unit positive charge from a reference point to a specific point inside an electric field without producing acceleration. A dipole is a pair of opposite charges with equal magnitudes separated by a distance and is represented as V = ([Coulomb]*p*cos(θ))/(r^2) or Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2). The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system. It is a measure of the system's overall polarity, Angle between any two vectors is the angle between any two vectors & The magnitude of position vector from reference point to any particular point in space.
How to calculate Electric Potential of Dipole?
The electric potential of dipole is the amount of work needed to move a unit positive charge from a reference point to a specific point inside an electric field without producing acceleration. A dipole is a pair of opposite charges with equal magnitudes separated by a distance is calculated using Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2). To calculate Electric Potential of Dipole, you need Electric Dipole Moment (p), Angle between any two vectors (θ) & Magnitude of Position Vector (r). With our tool, you need to enter the respective value for Electric Dipole Moment, Angle between any two vectors & Magnitude of Position Vector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Electrostatic Potential?
In this formula, Electrostatic Potential uses Electric Dipole Moment, Angle between any two vectors & Magnitude of Position Vector. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Electrostatic Potential = ([Coulomb]*Charge)/Separation between Charges
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